Quantitative Aptitude - Arithmetic Ability Questions

Q:

Which of the following statement(s) is/are TRUE?

 

I. √(64) + √(0.0064) + √(0.81) + √(0.0081) = 9.07
II. √(0.010201) + √(98.01) + √(0.25) = 11.51

A) Only I B) Only II
C) Both I and II D) Neither I nor II
 
Answer & Explanation Answer: A) Only I

Explanation:
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Q:

If the letters of the word SACHIN are arranged in all possible ways and these words are written out as in dictionary, then the word ‘SACHIN’ appears at serial number :

A) 601 B) 600
C) 603 D) 602
 
Answer & Explanation Answer: A) 601

Explanation:

If the word started with the letter A then the remaining 5 positions can be filled in  5! Ways.

 

If it started with c then the remaining 5 positions can be filled in 5! Ways.Similarly if it started with H,I,N the remaining 5 positions can be filled in 5! Ways.

 

If it started with S then the remaining position can be filled with A,C,H,I,N in alphabetical order as on dictionary.

 

The required word SACHIN can be obtained after the 5X5!=600 Ways i.e. SACHIN is the 601th letter.

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84 45041
Q:

12 people at a party shake hands once with everyone else in the room.How many handshakes took place?

A) 72 B) 66
C) 76 D) 64
 
Answer & Explanation Answer: B) 66

Explanation:

There are 12 people, so this is our n value.

 

So, 12C21= 66

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90 45011
Q:

What is the value of (cosec60 - 1/2) ?

 

A) (4-√3)/2√3   B) (2√3-1)/√3  
C) (3√3-1)/3   D) 1/√3
 
Answer & Explanation Answer: A) (4-√3)/2√3  

Explanation:
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Q:

If 2 tables and 3 chairs cost Rs, 3500 and 3 tables and 2 chairs cost Rs. 4000, then how much does a table cost ?

A) 500 B) 1000
C) 1500 D) 2000
 
Answer & Explanation Answer: B) 1000

Explanation:

Let the cost of a table and that of a chair be Rs. x and Rs, y respectively.

Then, 2x + 3y = 3500 ...(i)

and 3x + 2y = 4000 .....(ii)

solving (i) and (ii) we get x = 1000, y = 500 

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Q:

(8)23 = ?

 

A) √4 B) 2
C) 4 D) 64
 
Answer & Explanation Answer: C) 4

Explanation:
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Q:

When 0.232323.... is converted into a fraction , then the result is 

 

A) 1/5 B) 2/9
C) 23/99 D) 23/100
 
Answer & Explanation Answer: C) 23/99

Explanation:

0.232323...=0.23 =2399

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72 44776
Q:

If x = 4 + √15, then what is the value of [x2 + (1/x2)]?

 

A) 62 B) 64
C) 34 D) 36
 
Answer & Explanation Answer: A) 62

Explanation:
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